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+--- Thread: (35S) Complex conjugate, real and imaginary parts (/thread-8302.html)
(35S) Complex conjugate, real and imaginary parts - stephane - 05-05-2017 08:26 PM
Some basic complex functions are missing on the HP35s.
Among them, the conjugate, and the extraction of the real and imaginary parts.
I use the following formulas to fix the issue:
z.z* = |z|²
z+z* = 2.Re(z)
z-z* = 2.i.Im(z)
r.exp(i.theta) = r.cos(theta) + i.r.sin(theta)
Usage:
Before running one of the following programs, a complex value must be in the stack (REGX):
-
- Conj(x): XEQ N ___________(the +/- key)
- Re(x) and Im(x): XEQ G ____(the key with the complex i)
Y: Re(x)
X: Im(x)
The programs preserve the variables of the calculator.
The stack is preserved too.
LASTx is set with the right previous value before running the programs. (I use the following tip: ABS followed by CLx)
Code for Conjugate(x)
Code:
N001 LBL N
N002 ABS
N003 CLx
N004 SQ(ABS(LASTx))/LASTx CK=53A7 LN=20
N005 RTN
CK=B96B LN=35Code for Re(x) and Im(x)
Code:
G001 LBL G
G002 ABS(REGX)*COS(ARG(REGX+i0)) CK=A195 LN=27
G003 x<>y
G004 ABS
G005 CLx
G006 ABS(LASTx)*SIN(ARG(LASTx+i0)) CK=2C04 LN=29
G007 RTN
CK=C010 LN=77